Evaluate
\frac{31}{15}\approx 2.066666667
Factor
\frac{31}{3 \cdot 5} = 2\frac{1}{15} = 2.066666666666667
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\frac{5}{5}+\frac{4}{5}+\frac{4}{15}
Convert 1 to fraction \frac{5}{5}.
\frac{5+4}{5}+\frac{4}{15}
Since \frac{5}{5} and \frac{4}{5} have the same denominator, add them by adding their numerators.
\frac{9}{5}+\frac{4}{15}
Add 5 and 4 to get 9.
\frac{27}{15}+\frac{4}{15}
Least common multiple of 5 and 15 is 15. Convert \frac{9}{5} and \frac{4}{15} to fractions with denominator 15.
\frac{27+4}{15}
Since \frac{27}{15} and \frac{4}{15} have the same denominator, add them by adding their numerators.
\frac{31}{15}
Add 27 and 4 to get 31.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}